Pith Number

pith:4AWTMA2M

pith:2009:4AWTMA2MQ5RWK6RBUEEE46F3IC

not attested not anchored not stored refs pending

Equivariant Groebner bases and the Gaussian two-factor model

Andries E. Brouwer, Jan Draisma

arxiv:0908.1530 v3 · 2009-08-11 · math.AC · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AWTMA2MQ5RWK6RBUEEE46F3IC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:33:33.171436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02d36034c8763657a21a1084e78bb40a5bbd32fef531d8b60a9fc930cc0a7c8

Aliases

arxiv: 0908.1530 · arxiv_version: 0908.1530v3 · doi: 10.48550/arxiv.0908.1530 · pith_short_12: 4AWTMA2MQ5RW · pith_short_16: 4AWTMA2MQ5RWK6RB · pith_short_8: 4AWTMA2M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4AWTMA2MQ5RWK6RBUEEE46F3IC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e02d36034c8763657a21a1084e78bb40a5bbd32fef531d8b60a9fc930cc0a7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534d06a05001af6e2f3fe059145d5ac69f0101d4d286939d5a7bb99bfa8480c5",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-08-11T16:08:24Z",
    "title_canon_sha256": "cb7fd28d4b45288a4dc2cfba3683d5cad9354ca260d0023287c0f9eb78bc4895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1530",
    "kind": "arxiv",
    "version": 3
  }
}